An unstructured high-order finite-volume scheme for the simulation of reactive multi-species flows
Year: 2025
Type: article
Abstract: In this work, a high-order finite-volume method is combined with an iterative projection approach to solve transport equations for reactive fluids in the low-Mach number regime. The proposed solution algorithm is fully collocated in both space and time and incorporates a vertex-centered k-exact discretization to achieve truly third-order spatial accuracy, even on fully unstructured median-dual grids. To further enhance accuracy and stability, both viscous and convective fluxes are integrated into the scheme. Convective fluxes are discretized using a central face-value approximation with adaptive numerical dissipation control. This method is complemented by a gradient limitation approach, which locally reduces the order of accuracy near strong gradients while ensuring that only minimal necessary dissipation is introduced. The study focuses on assessing the advantages of this high-order approach over a conventional finite-volume scheme for unstructured grids, particularly in reducing the number of computational elements required for accurate simulations.Test cases include the isochoric advection of a hydrogen-oxygen mixture, convection of a pseudo-isentropic vortex,and a flame kernel-vortex interaction. Results demonstrate that the k-exact approach enables accurate simulations of complex, transient reactive flows even on coarser grids, leading to substantial reductions in computationalcost compared to traditional schemes.
Source: Journal of Computational Physics
Authors: Florian Setzwein, Peter Ess, Peter Gerlinger
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,980
OpenAlex ID: W4415220894